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Finding the Fourth Proportional to 209,594.69, 314,438.43 and 76,474.56

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Solution

The fourth proportional to 209,594.69, 314,438.43 and 76,474.56 is: 114,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,594.69 : 314,438.43 = 76,474.56 : x
  2. Step 2: Convert to fraction form
    209,594.69/314,438.43 = 76,474.56/x
  3. Step 3: Cross multiply
    209,594.69x = 314,438.43 × 76,474.56
  4. Step 4: Simplify right side
    209,594.69x = 24,046,540,581.34
  5. Step 5: Solve for x
    x = 24,046,540,581.34/209,594.69
  6. Step 6: Final answer
    x = 114,728.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.